Turbine nozzle airfoil and/or trailing edge profile

ABSTRACT

A turbine nozzle for a gas turbine includes: an airfoil having an airfoil shape having a nominal profile substantially in accordance with at least a portion of Cartesian coordinate values of X, Y and Z set forth in TABLE I. The Cartesian coordinate values are non-dimensional values of from 0% to 100% convertible to distances by multiplying the values by a height of the airfoil expressed in units of distance. The X and Y values are connected by smooth continuing arcs that define airfoil profile sections at each distance Z along at least a portion of the airfoil, and the airfoil profile sections at the Z distances are joined smoothly with one another to form the nominal profile. A trailing edge profile for a turbine nozzle is also disclosed.

TECHNICAL FIELD

The subject matter disclosed herein relates to turbomachines. More particularly, the subject matter disclosed herein relates to a turbine nozzle airfoil profile for a turbine nozzle, and a trailing edge profile for a turbine nozzle.

BACKGROUND

Some jet aircraft and simple cycle or combined cycle power plant systems employ turbines, or so-called turbomachines, in their design and operation. Some of these turbines employ airfoils (e.g., turbine nozzles, blades, airfoils, etc.), which during operation are exposed to fluid flows. These airfoils are configured to aerodynamically interact with the fluid flows and to generate energy from these fluid flows as part of power generation. For example, the airfoils may be used to create thrust, to convert kinetic energy to mechanical energy, and/or to convert thermal energy to mechanical energy. As a result of this interaction and conversion, the aerodynamic characteristics of these airfoils may result in losses that have an impact on system and turbine operation, performance, thrust, efficiency, and power.

BRIEF DESCRIPTION OF THE DISCLOSURE

Various embodiments of the disclosure include turbine nozzles and systems employing such nozzles. Various particular embodiments include a turbine nozzle having: an airfoil having: a suction side; a pressure side opposing the suction side; a leading edge spanning between the pressure side and the suction side; and a trailing edge opposing the leading edge and spanning between the pressure side and the suction side; and at least one endwall connected with the airfoil along the suction side, the pressure side, the trailing edge and the leading edge.

A first aspect of the disclosure includes a turbine nozzle comprising: an airfoil having: a suction side, a pressure side opposing the suction side, a leading edge spanning between the pressure side and the suction side, and a trailing edge opposing the leading edge and spanning between the pressure side and the suction side; and at least one endwall connected with the airfoil along the suction side, the pressure side, the trailing edge and the leading edge, wherein at least one of a suction side or a pressure side of the airfoil has a shape having a nominal profile substantially in accordance with at least a portion of Cartesian coordinate values of X, Y and Z set forth in TABLE I, wherein the Cartesian coordinate values are non-dimensional values of from 0% to 100% convertible to distances by multiplying the values by a height of the airfoil expressed in units of distance, and wherein X and Y values connected by smooth continuing arcs define airfoil profile sections at each distance Z along at least a portion of the airfoil, the airfoil profile sections at the Z distances being joined smoothly with one another to form the nominal profile.

A second aspect of the disclosure includes a static nozzle section for a turbine, the static nozzle section comprising: a set of static nozzles, the set of static nozzles including at least one nozzle having: an airfoil having: a suction side, a pressure side opposing the suction side, a leading edge spanning between the pressure side and the suction side, and a trailing edge opposing the leading edge and spanning between the pressure side and the suction side; and at least one endwall connected with the airfoil along the suction side, the pressure side, the trailing edge and the leading edge, wherein at least one of a suction side or a pressure side of the airfoil has a shape having a nominal profile substantially in accordance with at least a portion of Cartesian coordinate values of X, Y and Z set forth in Table I, wherein the Cartesian coordinate values are non-dimensional values of from 0% to 100% convertible to distances by multiplying the values by a height of the airfoil expressed in units of distance, and wherein X and Y values connected by smooth continuing arcs define airfoil profile sections at each distance Z along at least a portion of the airfoil, the airfoil profile sections at the Z distances being joined smoothly with one another to form the nominal profile.

A third aspect of the disclosure includes a turbine comprising a plurality of turbine nozzles, each of the turbine nozzles comprising: an airfoil having: a suction side, a pressure side opposing the suction side, a leading edge spanning between the pressure side and the suction side, and a trailing edge opposing the leading edge and spanning between the pressure side and the suction side; and at least one endwall connected with the airfoil along the suction side, the pressure side, the trailing edge and the leading edge, wherein at least one of a suction side or a pressure side of the airfoil has a shape having a nominal profile substantially in accordance with at least a portion of Cartesian coordinate values of X, Y and Z set forth in Table I, wherein the Cartesian coordinate values are non-dimensional values of from 0% to 100% convertible to distances by multiplying the values by a height of the airfoil expressed in units of distance, and wherein X and Y values connected by smooth continuing arcs define airfoil profile sections at each distance Z along at least a portion of the airfoil, the airfoil profile sections at the Z distances being joined smoothly with one another to form the nominal profile.

A fourth aspect includes a turbine nozzle comprising: an airfoil having: a suction side, a pressure side opposing the suction side, a leading edge spanning between the pressure side and the suction side, and a trailing edge opposing the leading edge and spanning between the pressure side and the suction side; and at least one endwall connected with the airfoil along the suction side, the pressure side, the trailing edge and the leading edge, wherein at least one of a suction side or a pressure side of the airfoil has a trailing edge shape having a nominal profile substantially in accordance with at least a portion of Cartesian coordinate values of X, Y and Z set forth in Table II, wherein the Cartesian coordinate values are non-dimensional values of from 0% to 100% convertible to distances by multiplying the values by a height of the airfoil expressed in units of distance, and wherein X and Y values connected by smooth continuing arcs define trailing edge profile sections at each distance Z along at least a portion of the airfoil, the trailing edge profile sections at the Z distances being joined smoothly with one another to form the nominal profile of the trailing edge shape.

BRIEF DESCRIPTION OF THE DRAWINGS

These and other features of this disclosure will be more readily understood from the following detailed description of the various aspects of the disclosure taken in conjunction with the accompanying drawings that depict various embodiments of the disclosure, in which:

FIG. 1 is a schematic illustration of an illustrative turbomachine;

FIG. 2 is a cross-section illustration of a four-stage turbine that may be used with the illustrative turbomachine in FIG. 1;

FIG. 3 shows a schematic three-dimensional view of an illustrative turbine nozzle including an airfoil and endwalls, according to various embodiments of the disclosure;

FIG. 4 shows a schematic three-dimensional view of a plurality of turbine nozzles, according to various embodiments of the disclosure;

FIG. 5 shows a schematic view of an origin of an airfoil of a turbine nozzle, according to various embodiments of the disclosure; and

FIG. 6 shows a schematic three-dimensional view of an illustrative turbine nozzle including an airfoil and endwalls, according to various embodiments of the disclosure.

It is noted that the drawings of the disclosure are not necessarily to scale. The drawings are intended to depict only typical aspects of the disclosure, and therefore should not be considered as limiting the scope of the disclosure. In the drawings, like numbering represents like elements between the drawings.

DETAILED DESCRIPTION

As an initial matter, in order to clearly describe the current technology, it will become necessary to select certain terminology when referring to and describing relevant machine components within a turbomachine. To the extent possible, common industry terminology will be used and employed in a manner consistent with its accepted meaning. Unless otherwise stated, such terminology should be given a broad interpretation consistent with the context of the present application and the scope of the appended claims. Those of ordinary skill in the art will appreciate that often a particular component may be referred to using several different or overlapping terms. What may be described herein as being a single part may include and be referenced in another context as consisting of multiple components. Alternatively, what may be described herein as including multiple components may be referred to elsewhere as a single part.

In addition, several descriptive terms may be used regularly herein, and it should prove helpful to define these terms at the onset of this section. These terms and their definitions, unless stated otherwise, are as follows. As used herein, “downstream” and “upstream” are terms that indicate a direction relative to the flow of a fluid, such as the working fluid through the turbine engine or, for example, the flow of air through the combustor or coolant through one of the turbine's component systems. The term “downstream” corresponds to the direction of flow of the fluid, and the term “upstream” refers to the direction opposite to the flow. The terms “forward” and “aft,” without any further specificity, refer to directions, with “forward” referring to the front or compressor end of the engine, and “aft” referring to the rearward or turbine end of the engine.

It is often required to describe parts that are disposed at differing radial positions with regard to a center axis. The term “radial” refers to movement or position perpendicular to an axis. For example, if a first component resides closer to the axis than a second component, it will be stated herein that the first component is “radially inward” or “inboard” of the second component. If, on the other hand, the first component resides further from the axis than the second component, it may be stated herein that the first component is “radially outward” or “outboard” of the second component. The term “axial” refers to movement or position parallel to an axis. Finally, the term “circumferential” refers to movement or position around an axis. It will be appreciated that such terms may be applied in relation to the center axis of the turbine.

In addition, several descriptive terms may be used regularly herein, as described below. The terms “first”, “second”, and “third” may be used interchangeably to distinguish one component from another and are not intended to signify location or importance of the individual components.

The terminology used herein is for the purpose of describing particular embodiments only and is not intended to be limiting of the disclosure. As used herein, the singular forms “a”, “an” and “the” are intended to include the plural forms as well, unless the context clearly indicates otherwise. It will be further understood that the terms “comprises” and/or “comprising,” when used in this specification, specify the presence of stated features, integers, steps, operations, elements, and/or components but do not preclude the presence or addition of one or more other features, integers, steps, operations, elements, components, and/or groups thereof. “Optional” or “optionally” means that the subsequently described event or circumstance may or may not occur, and that the description includes instances where the event occurs and instances where it does not.

Where an element or layer is referred to as being “on,” “engaged to,” “connected to” or “coupled to” another element or layer, it may be directly on, engaged to, connected to, or coupled to the other element or layer, or intervening elements or layers may be present. In contrast, when an element is referred to as being “directly on,” “directly engaged to,” “directly connected to” or “directly coupled to” another element or layer, there may be no intervening elements or layers present. Other words used to describe the relationship between elements should be interpreted in a like fashion (e.g., “between” versus “directly between,” “adjacent” versus “directly adjacent,” etc.). As used herein, the term “and/or” includes any and all combinations of one or more of the associated listed items.

As noted herein, various aspects of the disclosure are directed toward turbine nozzles. Various embodiments include a turbine nozzle having: an airfoil having an airfoil shape having a nominal profile substantially in accordance with at least a portion of Cartesian coordinate values of X, Y and Z set forth in TABLE I. The Cartesian coordinate values are non-dimensional values of from 0% to 100% convertible to distances by multiplying the values by a height of the airfoil expressed in units of distance. The X and Y values are connected by smooth continuing arcs that define airfoil profile sections at each distance Z along at least a portion of the airfoil, and the profile sections at the Z distances are joined smoothly with one another to form the nominal profile.

Referring to the drawings, FIG. 1 is a schematic view of an illustrative turbomachine 90 in the form of a combustion turbine or gas turbine (GT) system 100 (hereinafter “GT system 100”). GT system 100 includes a compressor 102 and a combustor 104. Combustor 104 includes a combustion region 105 and a fuel nozzle assembly 106. GT system 100 also includes a turbine 108 and a common compressor/turbine shaft 110 (hereinafter referred to as “rotor 110”). In one embodiment, GT system 100 is a 7HA.03 engine, commercially available from General Electric Company, Greenville, S.C. The present disclosure is not limited to any one particular GT system and may be implanted in connection with other engines including, for example, the other HA, F, B, LM, GT, TM and E-class engine models of General Electric Company, and engine models of other companies. Further, the teachings of the disclosure are not necessarily applicable to only a GT system and may be applied to other types of turbomachines, e.g., steam turbines, jet engines, compressors, etc.

FIG. 2 shows a cross-section view of an illustrative portion of turbine 108 with four stages L0-L3 that may be used with GT system 100 in FIG. 1. The four stages are referred to as L0, L1, L2, and L3. Stage L0 is the first stage and is the smallest (in a radial direction) of the four stages. Stage L1 is the second stage and is the next stage in an axial direction. Stage L2 is the third stage and is the next stage in an axial direction. Stage L3 is the fourth, last stage and is the largest (in a radial direction). It is to be understood that four stages are shown as one example only, and each turbine may have more or less than four stages.

A set of stationary vanes or nozzles 112 cooperate with a set of rotating blades 114 to form each stage L0-L3 of turbine 108 and to define a portion of a flow path through turbine 108. Rotating blades 114 in each set are coupled to a respective rotor wheel 116 that couples them circumferentially to rotor 110. That is, a plurality of rotating blades 114 are mechanically coupled in a circumferentially spaced manner to each rotor wheel 116. A static nozzle section 115 includes a plurality of stationary nozzles 112 circumferentially spaced around rotor 110. Each nozzle 112 may include at least one endwall (or platform) 120, 122 connected with airfoil 130. In the example shown, nozzle 112 includes a radially outer endwall 120 and a radially inner endwall 122. Radially outer endwall 120 couples nozzle(s) 112 to a casing 124 of turbine 108.

In operation, air flows through compressor 102, and compressed air is supplied to combustor 104. Specifically, the compressed air is supplied to fuel nozzle assembly 106 that is integral to combustor 104. Fuel nozzle assembly 106 is in flow communication with combustion region 105. Fuel nozzle assembly 106 is also in flow communication with a fuel source (not shown in FIG. 1) and channels fuel and air to combustion region 105. Combustor 104 ignites and combusts fuel. Combustor 104 is in flow communication with turbine 108 within which gas stream thermal energy is converted to mechanical rotational energy. Turbine 108 is rotatably coupled to and drives rotor 110. Compressor 102 also is rotatably coupled to rotor 110. In the illustrative embodiment, there is a plurality of combustors 104 and fuel nozzle assemblies 106. In the following discussion, unless otherwise indicated, only one of each component will be discussed. At least one end of rotor 110 may extend axially away from turbine 108 and may be attached to a load or machinery (not shown) such as, but not limited to, a generator, a load compressor, and/or another turbine.

Turning to FIG. 3, a schematic three-dimensional view of a turbine nozzle (or simply, nozzle) 112 is shown, according to various embodiments to better illustrate the parts of a nozzle. Nozzle 112 is a stationary nozzle, which forms part of static nozzle section 115 (FIG. 2) and which forms part of an annulus of stationary nozzles in a stage of a turbine (e.g., turbine 108), as previously described. That is, during operation of a turbine (e.g., turbine 108), nozzle 112 will remain stationary in order to direct the flow of working fluid (e.g., gas or steam) to one or more movable blades (e.g., blades 114), causing those movable blades to initiate rotation of a rotor 110. It is understood that nozzle 112 may be configured to couple (mechanically couple via fasteners, welds, slot/grooves, etc.) with a plurality of similar or distinct nozzles (e.g., nozzles 112 or other nozzles) to form an annulus of nozzles in a stage L0-L3 of turbine 108.

Turbine nozzle 112 can include an airfoil 130 having a convex suction side 132, and a concave pressure side 134 (obstructed in FIG. 3) opposing suction side 132. Nozzle 112 can also include a leading edge 136 spanning between pressure side 134 and suction side 132, and a trailing edge 138 opposing leading edge 136 and spanning between pressure side 134 and suction side 132. As shown, and as previously noted, nozzle 112 can also include at least one endwall 120, 122 (two shown) connected with airfoil 130 along suction side 132, pressure side 134, trailing edge 138 and leading edge 136. In the example shown, nozzle 112 includes a radially outer endwall 120 and a radially inner endwall 122. Radially outer endwalls 120 are configured to align on the radially outer side of the static nozzle section and to couple respective nozzle(s) 112 to casing 124 (FIG. 2) of turbine 108 (FIG. 2). Radially inner endwalls 122 are configured to align on the radially inner side of static nozzle section 115 (FIG. 2).

In various embodiments, nozzle 112 includes a fillet 140, 142 connecting airfoil 130 and each respective endwall 120, 122. Fillet 140 can include a weld or braze fillet, which may be formed via conventional metal-inert gas (MIG) welding, tungsten-inert gas (TIG) welding, brazing, etc. Fillets 140, 142 can overlap a portion of airfoil 130. The extent of overlap can vary from nozzle to nozzle, stage to stage, and/or turbine to turbine.

With reference again to FIG. 2, in various embodiments, nozzle 112 can include a first stage (L0) nozzle, second stage (L1) nozzle, third stage (L2) nozzle, or fourth stage (L3) nozzle. In particular embodiments, nozzle 112 is a first stage (L0) nozzle, and the improved flow profile across the interface between airfoil 130 and endwall 120, 122 allows first stage (L0) nozzle to withstand high-temperature gas at the first stage. In various embodiments, turbine 108 can include a set of nozzles 112 in only first stage (L0) of turbine 108, or in only second stage (L1), or in only third stage (L2) of turbine 108.

With reference to FIG. 4 and with continuing reference to FIG. 3, suction side 132 and/or pressure side 134 of airfoil 130 shape has a nominal profile that can be expressed substantially in accordance with at least a portion of Cartesian coordinates, i.e., X, Y, Z coordinates, set forth in TABLE I. A “profile” is the range of the variation between measured points on an airfoil surface and the ideal position listed in TABLE I. The actual profile on a manufactured turbine nozzle will be different than those in Table I and the design is robust to this variation, meaning that mechanical and aerodynamic function are not impaired.

To allow for typical manufacturing tolerances and/or coating thicknesses, ±values can be added to the values listed in TABLE I, particularly to the X and Y values therein. For example, a tolerance of about 10-20 percent of a thickness of trailing edge 138 in a direction normal to any surface location along the airfoil profile can define an airfoil profile envelope for a nozzle airfoil design at cold or room temperature. In other words, a distance of about 10-20 percent of a thickness of the trailing edge in a direction normal to any surface location along the airfoil profile can define a range of variation between measured points on an actual airfoil surface and ideal positions of those points, particularly at a cold or room temperature, as embodied by the disclosure. The nozzle airfoil layout, as embodied by the disclosure, is robust to this range of variation without impairment of mechanical and aerodynamic functions.

The Cartesian coordinate system of X, Y and Z values given in TABLE I below defines the profile of the turbine nozzle airfoil (i.e., airfoil 130) at various locations along its height. To illustrate, FIG. 4 shows a plurality of cross sections 160-170 along span or height H that correspond to Z coordinate values of chord lines. Each cross section 160-170 of airfoil 130 can be described by a respective set of X and Y coordinates (from TABLE I). For example, 100 or more points can be listed for each of the pressure side and the suction side that collectively define each cross section 160-170, though it should be apparent that more or fewer points can be used for the respective sides of each cross section, and more or fewer cross sections can be used, as may be desired and/or appropriate.

The coordinate values are stated as non-dimensional values of from 0% to 100% (percentages in TABLE I) convertible to distances by multiplying the values by a height H of airfoil 130 expressed in units of distance. While the X, Y, and Z coordinate values in TABLE I have been expressed in normalized or non-dimensionalized form, it should be apparent that any or all of the coordinate values could instead be expressed in distance units so long as the proportions are maintained. Specifically, the profile and/or layout can be scaled uniformly up or down, such as geometrically, without impairment of operation, and such scaling can be facilitated by use of normalized coordinate values, i.e., multiplying the normalized values by a common scaling factor, which may be a larger or smaller number of distance units than might have originally been used. For example, the values in TABLE I, particularly the X and Y values, could be multiplied by a scaling factor of 0.5, 2, or any other desired scaling factor, to uniformly geometrically scale. Alternatively, the values could be multiplied by a larger or smaller desired height H.

As discussed above, to convert an X, Y or Z value of TABLE I to a respective X, Y or Z coordinate value in units of distance, such as inches or meters, the non-dimensional X, Y or Z value given in TABLE I can be multiplied by a height H of airfoil 130 in such units of distance. Hence, the profile can be applied to airfoils of different heights H. By connecting the X and Y values with smooth continuing arcs, each profile cross section at each height Z (i.e., cross sections 160-170) can be fixed. The airfoil profiles of the various surface locations between the heights Z (in TABLE I) can be determined by smoothly connecting adjacent profile sections to one another, thus forming the nominal airfoil profile. Further, it is noted that where an airfoil profile section uses Z coordinate values not expressly stated in TABLE I, appropriate coordinate values can be mathematically extrapolated from TABLE I.

The values in TABLE I are generated and shown to three decimal places for determining the nominal profile of at least one of a suction side or a pressure side of airfoil 130 at ambient, non-operating, or non-hot conditions and do not take any coatings or fillets 140, 142 (FIG. 3) into account, though embodiments could account for other conditions, coatings, and/or fillets. The Cartesian coordinate values have an origin at an innermost point 172 (FIGS. 4 and 5) of leading edge 136 of airfoil 130 at the junction of airfoil 130 with a top surface of endwall 122. As shown in FIG. 5, it is understood that innermost point 172 may be covered by fillet 140 and that innermost point 172 is one of the points of cross section 160. Further, as shown in FIG. 4, cross sections 160 or 170 may be covered by fillet 140, 142, respectively.

While FIG. 4 shows nozzles 112 that employs all of the data from the Cartesian coordinate values of X, Y, and Z set forth in TABLE I (i.e., all data from 0% to 100%), it is possible that an airfoil profile for a nozzle uses only a selected portion or subset of Cartesian coordinate values of X, Y, and X set forth in TABLE I. For instance, while the Cartesian values in TABLE I provide Z coordinate values at 10% increments between 0% and 100%, only a portion of Cartesian coordinate values set forth in TABLE I may be employed. In one example, the airfoil profile sections may use a portion of Z coordinate values defined within 10% and 90% of the height of the airfoil, i.e., from cross sections 161 to 169. In another example, the airfoil profile sections may use a portion of the Cartesian coordinate values defined within 5% and 95% of the height of the airfoil, i.e., from a plane midway between cross sections 160 and 161 to a plane midway between cross sections 169 and 170. Any portion of Cartesian coordinate values of X, Y and Z set forth in TABLE I may be employed, e.g., from 20% to 30%, 37%-50%, etc.

FIG. 6 shows a perspective view of a nozzle 112 that employs only a selected portion of the Cartesian coordinate values of X, Y and Z set forth in TABLE I to define a section of the span of the airfoil of nozzle 112. For example, a nozzle 112 may be made using coordinate values that represent a selected section of airfoil 130, such as from 40% of the height to 55% of the height, as shown by shading in FIG. 6. As shown in FIG. 6, a nozzle 112 that has, for example, a selected section of airfoil 130 may have an origin 172′ that dictates the relative position of the selected portion, e.g., 40%-55%, of the Cartesian coordinate values of X, Y and Z set forth in TABLE I. Coordinates other than those provided in TABLE I may be used to define the rest of the span of the airfoil of nozzle 112 (i.e., from 0% to 40% and from 55% to 100%), including the origin 172′ at a terminal end of the airfoil at its leading edge.

TABLE I Non-dimensionalized (%) N Location X Y Z 1 Suction-Side 0 0 0 2 Suction-Side 0.233 −1.530 0 3 Suction-Side 0.809 −2.966 0 4 Suction-Side 1.650 −4.264 0 5 Suction-Side 2.680 −5.411 0 6 Suction-Side 3.850 −6.423 0 7 Suction-Side 5.112 −7.302 0 8 Suction-Side 6.444 −8.066 0 9 Suction-Side 7.837 −8.730 0 10 Suction-Side 9.267 −9.299 0 11 Suction-Side 10.722 −9.778 0 12 Suction-Side 12.196 −10.177 0 13 Suction-Side 13.692 −10.500 0 14 Suction-Side 15.204 −10.753 0 15 Suction-Side 16.734 −10.938 0 16 Suction-Side 18.266 −11.052 0 17 Suction-Side 19.793 −11.094 0 18 Suction-Side 21.317 −11.058 0 19 Suction-Side 22.836 −10.937 0 20 Suction-Side 24.350 −10.723 0 21 Suction-Side 25.860 −10.410 0 22 Suction-Side 27.347 −9.996 0 23 Suction-Side 28.792 −9.486 0 24 Suction-Side 30.194 −8.879 0 25 Suction-Side 31.555 −8.178 0 26 Suction-Side 32.875 −7.385 0 27 Suction-Side 34.147 −6.511 0 28 Suction-Side 35.358 −5.568 0 29 Suction-Side 36.513 −4.568 0 30 Suction-Side 37.617 −3.514 0 31 Suction-Side 38.675 −2.411 0 32 Suction-Side 39.692 −1.263 0 33 Suction-Side 40.668 −0.074 0 34 Suction-Side 41.603 1.145 0 35 Suction-Side 42.499 2.387 0 36 Suction-Side 43.358 3.647 0 37 Suction-Side 44.184 4.926 0 38 Suction-Side 44.980 6.220 0 39 Suction-Side 45.750 7.527 0 40 Suction-Side 46.493 8.849 0 41 Suction-Side 47.216 10.181 0 42 Suction-Side 47.918 11.526 0 43 Suction-Side 48.600 12.880 0 44 Suction-Side 49.266 14.242 0 45 Suction-Side 49.915 15.615 0 46 Suction-Side 50.550 16.995 0 47 Suction-Side 51.168 18.382 0 48 Suction-Side 51.774 19.777 0 49 Suction-Side 52.367 21.179 0 50 Suction-Side 52.949 22.586 0 51 Suction-Side 53.520 24.000 0 52 Suction-Side 54.080 25.418 0 53 Suction-Side 54.629 26.841 0 54 Suction-Side 55.166 28.267 0 55 Suction-Side 55.694 29.696 0 56 Suction-Side 56.213 31.126 0 57 Suction-Side 56.722 32.561 0 58 Suction-Side 57.224 33.997 0 59 Suction-Side 57.716 35.436 0 60 Suction-Side 58.200 36.877 0 61 Suction-Side 58.676 38.321 0 62 Suction-Side 59.147 39.766 0 63 Suction-Side 59.608 41.214 0 64 Suction-Side 60.064 42.664 0 65 Suction-Side 60.512 44.116 0 66 Suction-Side 60.954 45.570 0 67 Suction-Side 61.388 47.026 0 68 Suction-Side 61.819 48.483 0 69 Suction-Side 62.242 49.941 0 70 Suction-Side 62.660 51.403 0 71 Suction-Side 63.073 52.866 0 72 Suction-Side 63.479 54.329 0 73 Suction-Side 63.880 55.795 0 74 Suction-Side 64.276 57.262 0 75 Suction-Side 64.666 58.731 0 76 Suction-Side 65.052 60.201 0 77 Suction-Side 65.433 61.673 0 78 Suction-Side 65.809 63.147 0 79 Suction-Side 66.180 64.620 0 80 Suction-Side 66.546 66.096 0 81 Suction-Side 66.907 67.574 0 82 Suction-Side 67.264 69.052 0 83 Suction-Side 67.617 70.533 0 84 Suction-Side 67.964 72.014 0 85 Suction-Side 68.309 73.496 0 86 Suction-Side 68.647 74.980 0 87 Suction-Side 68.982 76.465 0 88 Suction-Side 69.313 77.952 0 89 Suction-Side 69.640 79.438 0 90 Suction-Side 69.962 80.926 0 91 Suction-Side 70.281 82.415 0 92 Suction-Side 70.594 83.904 0 93 Suction-Side 70.904 85.395 0 94 Suction-Side 71.209 86.887 0 95 Suction-Side 71.511 88.379 0 96 Suction-Side 71.809 89.872 0 97 Suction-Side 72.103 91.366 0 98 Suction-Side 72.392 92.860 0 99 Suction-Side 72.677 94.356 0 100 Suction-Side 72.959 95.851 0 101 Suction-Side 73.054 96.362 0 102 Suction-Side 73.149 96.871 0 103 Suction-Side 73.242 97.380 0 104 Suction-Side 73.336 97.889 0 105 Suction-Side 73.425 98.399 0 106 Suction-Side 73.465 98.917 0 107 Suction-Side 73.423 99.429 0 108 Suction-Side 73.276 99.926 0 109 Suction-Side 72.938 100.315 0 110 Pressure-Side 0 0 0 111 Pressure-Side 0.085 1.229 0 112 Pressure-Side 0.404 2.423 0 113 Pressure-Side 0.923 3.548 0 114 Pressure-Side 1.601 4.583 0 115 Pressure-Side 2.404 5.525 0 116 Pressure-Side 3.300 6.380 0 117 Pressure-Side 4.269 7.152 0 118 Pressure-Side 5.297 7.843 0 119 Pressure-Side 6.368 8.466 0 120 Pressure-Side 7.453 9.063 0 121 Pressure-Side 8.529 9.677 0 122 Pressure-Side 9.592 10.311 0 123 Pressure-Side 10.647 10.959 0 124 Pressure-Side 11.692 11.622 0 125 Pressure-Side 12.728 12.303 0 126 Pressure-Side 13.751 12.998 0 127 Pressure-Side 14.766 13.707 0 128 Pressure-Side 15.771 14.431 0 129 Pressure-Side 16.765 15.170 0 130 Pressure-Side 17.750 15.921 0 131 Pressure-Side 18.723 16.686 0 132 Pressure-Side 19.688 17.462 0 133 Pressure-Side 20.642 18.253 0 134 Pressure-Side 21.586 19.054 0 135 Pressure-Side 22.520 19.867 0 136 Pressure-Side 23.445 20.691 0 137 Pressure-Side 24.359 21.526 0 138 Pressure-Side 25.264 22.372 0 139 Pressure-Side 26.158 23.227 0 140 Pressure-Side 27.044 24.092 0 141 Pressure-Side 27.921 24.967 0 142 Pressure-Side 28.788 25.851 0 143 Pressure-Side 29.645 26.745 0 144 Pressure-Side 30.494 27.647 0 145 Pressure-Side 31.334 28.558 0 146 Pressure-Side 32.163 29.476 0 147 Pressure-Side 32.985 30.402 0 148 Pressure-Side 33.798 31.335 0 149 Pressure-Side 34.602 32.277 0 150 Pressure-Side 35.399 33.226 0 151 Pressure-Side 36.187 34.181 0 152 Pressure-Side 36.966 35.144 0 153 Pressure-Side 37.738 36.113 0 154 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Suction-Side 68.586 85.395 30 91 Suction-Side 68.862 86.953 30 92 Suction-Side 69.135 88.513 30 93 Suction-Side 69.402 90.072 30 94 Suction-Side 69.666 91.633 30 95 Suction-Side 69.924 93.194 30 96 Suction-Side 70.180 94.756 30 97 Suction-Side 70.430 96.319 30 98 Suction-Side 70.677 97.881 30 99 Suction-Side 70.919 99.447 30 100 Suction-Side 71.156 101.010 30 101 Suction-Side 71.227 101.479 30 102 Suction-Side 71.297 101.948 30 103 Suction-Side 71.367 102.417 30 104 Suction-Side 71.436 102.887 30 105 Suction-Side 71.488 103.358 30 106 Suction-Side 71.485 103.835 30 107 Suction-Side 71.414 104.319 30 108 Suction-Side 71.241 104.788 30 109 Suction-Side 70.873 105.101 30 110 Pressure-Side −1.622 −1.335 30 111 Pressure-Side −1.531 −0.058 30 112 Pressure-Side −1.188 1.177 30 113 Pressure-Side −0.632 2.331 30 114 Pressure-Side 0.091 3.389 30 115 Pressure-Side 0.942 4.347 30 116 Pressure-Side 1.892 5.209 30 117 Pressure-Side 2.917 5.979 30 118 Pressure-Side 4.000 6.668 30 119 Pressure-Side 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Pressure-Side 32.663 31.942 30 149 Pressure-Side 33.454 32.953 30 150 Pressure-Side 34.234 33.969 30 151 Pressure-Side 35.007 34.994 30 152 Pressure-Side 35.770 36.024 30 153 Pressure-Side 36.525 37.061 30 154 Pressure-Side 37.272 38.104 30 155 Pressure-Side 38.009 39.155 30 156 Pressure-Side 38.739 40.210 30 157 Pressure-Side 39.460 41.269 30 158 Pressure-Side 40.174 42.336 30 159 Pressure-Side 40.880 43.405 30 160 Pressure-Side 41.578 44.483 30 161 Pressure-Side 42.269 45.563 30 162 Pressure-Side 42.951 46.649 30 163 Pressure-Side 43.628 47.738 30 164 Pressure-Side 44.297 48.833 30 165 Pressure-Side 44.959 49.932 30 166 Pressure-Side 45.613 51.035 30 167 Pressure-Side 46.262 52.142 30 168 Pressure-Side 46.903 53.252 30 169 Pressure-Side 47.538 54.366 30 170 Pressure-Side 48.167 55.485 30 171 Pressure-Side 48.789 56.606 30 172 Pressure-Side 49.404 57.731 30 173 Pressure-Side 50.014 58.860 30 174 Pressure-Side 50.618 59.992 30 175 Pressure-Side 51.216 61.126 30 176 Pressure-Side 51.808 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Pressure-Side 44.122 49.478 40 165 Pressure-Side 44.785 50.600 40 166 Pressure-Side 45.443 51.725 40 167 Pressure-Side 46.093 52.853 40 168 Pressure-Side 46.735 53.985 40 169 Pressure-Side 47.372 55.121 40 170 Pressure-Side 48.002 56.261 40 171 Pressure-Side 48.625 57.405 40 172 Pressure-Side 49.243 58.552 40 173 Pressure-Side 49.854 59.701 40 174 Pressure-Side 50.459 60.854 40 175 Pressure-Side 51.060 62.010 40 176 Pressure-Side 51.654 63.169 40 177 Pressure-Side 52.241 64.332 40 178 Pressure-Side 52.823 65.497 40 179 Pressure-Side 53.400 66.665 40 180 Pressure-Side 53.971 67.834 40 181 Pressure-Side 54.538 69.008 40 182 Pressure-Side 55.097 70.183 40 183 Pressure-Side 55.654 71.361 40 184 Pressure-Side 56.204 72.542 40 185 Pressure-Side 56.749 73.724 40 186 Pressure-Side 57.289 74.908 40 187 Pressure-Side 57.825 76.097 40 188 Pressure-Side 58.356 77.285 40 189 Pressure-Side 58.882 78.477 40 190 Pressure-Side 59.403 79.670 40 191 Pressure-Side 59.920 80.866 40 192 Pressure-Side 60.433 82.063 40 193 Pressure-Side 60.940 83.262 40 194 Pressure-Side 61.443 84.464 40 195 Pressure-Side 61.942 85.667 40 196 Pressure-Side 62.437 86.872 40 197 Pressure-Side 62.929 88.078 40 198 Pressure-Side 63.415 89.286 40 199 Pressure-Side 63.898 90.495 40 200 Pressure-Side 64.377 91.706 40 201 Pressure-Side 64.852 92.920 40 202 Pressure-Side 65.322 94.133 40 203 Pressure-Side 65.789 95.350 40 204 Pressure-Side 66.252 96.567 40 205 Pressure-Side 66.711 97.785 40 206 Pressure-Side 67.166 99.006 40 207 Pressure-Side 67.619 100.227 40 208 Pressure-Side 68.068 101.450 40 209 Pressure-Side 68.513 102.672 40 210 Pressure-Side 68.702 103.196 40 211 Pressure-Side 68.890 103.718 40 212 Pressure-Side 69.076 104.242 40 213 Pressure-Side 69.261 104.764 40 214 Pressure-Side 69.451 105.287 40 215 Pressure-Side 69.671 105.797 40 216 Pressure-Side 69.959 106.270 40 217 Pressure-Side 70.333 106.684 40 218 Pressure-Side 70.825 106.920 40 1 Suction-Side −2.703 −2.224 50 2 Suction-Side −2.438 −3.865 50 3 Suction-Side −1.783 −5.393 50 4 Suction-Side −0.835 −6.755 50 5 Suction-Side 0.319 −7.948 50 6 Suction-Side 1.619 −8.980 50 7 Suction-Side 3.012 −9.862 50 8 Suction-Side 4.487 −10.618 50 9 Suction-Side 6.017 −11.257 50 10 Suction-Side 7.577 −11.784 50 11 Suction-Side 9.164 −12.211 50 12 Suction-Side 10.773 −12.545 50 13 Suction-Side 12.406 −12.793 50 14 Suction-Side 14.054 −12.956 50 15 Suction-Side 15.701 −13.033 50 16 Suction-Side 17.344 −13.021 50 17 Suction-Side 18.982 −12.916 50 18 Suction-Side 20.614 −12.711 50 19 Suction-Side 22.241 −12.400 50 20 Suction-Side 23.844 −11.984 50 21 Suction-Side 25.402 −11.469 50 22 Suction-Side 26.918 −10.857 50 23 Suction-Side 28.393 −10.149 50 24 Suction-Side 29.829 −9.349 50 25 Suction-Side 31.225 −8.459 50 26 Suction-Side 32.568 −7.496 50 27 Suction-Side 33.852 −6.471 50 28 Suction-Side 35.082 −5.387 50 29 Suction-Side 36.261 −4.251 50 30 Suction-Side 37.395 −3.067 50 31 Suction-Side 38.485 −1.837 50 32 Suction-Side 39.537 −0.567 50 33 Suction-Side 40.548 0.737 50 34 Suction-Side 41.515 2.065 50 35 Suction-Side 42.443 3.413 50 36 Suction-Side 43.334 4.781 50 37 Suction-Side 44.193 6.165 50 38 Suction-Side 45.023 7.566 50 39 Suction-Side 45.824 8.981 50 40 Suction-Side 46.599 10.410 50 41 Suction-Side 47.349 11.852 50 42 Suction-Side 48.076 13.306 50 43 Suction-Side 48.783 14.772 50 44 Suction-Side 49.470 16.247 50 45 Suction-Side 50.139 17.734 50 46 Suction-Side 50.789 19.229 50 47 Suction-Side 51.422 20.732 50 48 Suction-Side 52.041 22.246 50 49 Suction-Side 52.643 23.767 50 50 Suction-Side 53.231 25.293 50 51 Suction-Side 53.805 26.826 50 52 Suction-Side 54.364 28.363 50 53 Suction-Side 54.910 29.903 50 54 Suction-Side 55.443 31.448 50 55 Suction-Side 55.964 32.994 50 56 Suction-Side 56.471 34.543 50 57 Suction-Side 56.968 36.097 50 58 Suction-Side 57.455 37.652 50 59 Suction-Side 57.931 39.209 50 60 Suction-Side 58.397 40.770 50 61 Suction-Side 58.853 42.334 50 62 Suction-Side 59.299 43.900 50 63 Suction-Side 59.737 45.468 50 64 Suction-Side 60.166 47.038 50 65 Suction-Side 60.586 48.609 50 66 Suction-Side 60.997 50.185 50 67 Suction-Side 61.402 51.760 50 68 Suction-Side 61.798 53.339 50 69 Suction-Side 62.187 54.919 50 70 Suction-Side 62.568 56.501 50 71 Suction-Side 62.942 58.086 50 72 Suction-Side 63.310 59.672 50 73 Suction-Side 63.670 61.258 50 74 Suction-Side 64.025 62.848 50 75 Suction-Side 64.372 64.439 50 76 Suction-Side 64.715 66.031 50 77 Suction-Side 65.050 67.625 50 78 Suction-Side 65.378 69.221 50 79 Suction-Side 65.702 70.818 50 80 Suction-Side 66.019 72.416 50 81 Suction-Side 66.332 74.017 50 82 Suction-Side 66.638 75.618 50 83 Suction-Side 66.939 77.220 50 84 Suction-Side 67.234 78.824 50 85 Suction-Side 67.524 80.429 50 86 Suction-Side 67.810 82.036 50 87 Suction-Side 68.089 83.645 50 88 Suction-Side 68.365 85.255 50 89 Suction-Side 68.635 86.864 50 90 Suction-Side 68.899 88.474 50 91 Suction-Side 69.160 90.086 50 92 Suction-Side 69.416 91.698 50 93 Suction-Side 69.666 93.311 50 94 Suction-Side 69.913 94.926 50 95 Suction-Side 70.154 96.540 50 96 Suction-Side 70.392 98.154 50 97 Suction-Side 70.625 99.770 50 98 Suction-Side 70.853 101.387 50 99 Suction-Side 71.076 103.005 50 100 Suction-Side 71.295 104.622 50 101 Suction-Side 71.359 105.091 50 102 Suction-Side 71.422 105.560 50 103 Suction-Side 71.484 106.028 50 104 Suction-Side 71.546 106.497 50 105 Suction-Side 71.589 106.968 50 106 Suction-Side 71.579 107.444 50 107 Suction-Side 71.503 107.926 50 108 Suction-Side 71.331 108.392 50 109 Suction-Side 70.966 108.708 50 110 Pressure-Side −2.703 −2.224 50 111 Pressure-Side −2.607 −0.902 50 112 Pressure-Side −2.243 0.372 50 113 Pressure-Side −1.656 1.561 50 114 Pressure-Side −0.892 2.646 50 115 Pressure-Side 0.003 3.625 50 116 Pressure-Side 0.999 4.502 50 117 Pressure-Side 2.076 5.276 50 118 Pressure-Side 3.206 5.971 50 119 Pressure-Side 4.356 6.634 50 120 Pressure-Side 5.497 7.312 50 121 Pressure-Side 6.626 8.011 50 122 Pressure-Side 7.739 8.732 50 123 Pressure-Side 8.840 9.474 50 124 Pressure-Side 9.929 10.233 50 125 Pressure-Side 11.003 11.012 50 126 Pressure-Side 12.066 11.808 50 127 Pressure-Side 13.115 12.621 50 128 Pressure-Side 14.152 13.449 50 129 Pressure-Side 15.176 14.294 50 130 Pressure-Side 16.186 15.155 50 131 Pressure-Side 17.185 16.029 50 132 Pressure-Side 18.170 16.918 50 133 Pressure-Side 19.143 17.820 50 134 Pressure-Side 20.105 18.735 50 135 Pressure-Side 21.054 19.663 50 136 Pressure-Side 21.992 20.602 50 137 Pressure-Side 22.918 21.553 50 138 Pressure-Side 23.832 22.514 50 139 Pressure-Side 24.736 23.488 50 140 Pressure-Side 25.627 24.470 50 141 Pressure-Side 26.507 25.464 50 142 Pressure-Side 27.378 26.466 50 143 Pressure-Side 28.237 27.477 50 144 Pressure-Side 29.086 28.497 50 145 Pressure-Side 29.926 29.525 50 146 Pressure-Side 30.754 30.562 50 147 Pressure-Side 31.573 31.607 50 148 Pressure-Side 32.381 32.659 50 149 Pressure-Side 33.181 33.718 50 150 Pressure-Side 33.972 34.785 50 151 Pressure-Side 34.752 35.858 50 152 Pressure-Side 35.525 36.938 50 153 Pressure-Side 36.288 38.022 50 154 Pressure-Side 37.042 39.115 50 155 Pressure-Side 37.788 40.212 50 156 Pressure-Side 38.525 41.316 50 157 Pressure-Side 39.255 42.425 50 158 Pressure-Side 39.977 43.539 50 159 Pressure-Side 40.689 44.659 50 160 Pressure-Side 41.395 45.782 50 161 Pressure-Side 42.092 46.912 50 162 Pressure-Side 42.784 48.045 50 163 Pressure-Side 43.466 49.183 50 164 Pressure-Side 44.141 50.326 50 165 Pressure-Side 44.811 51.473 50 166 Pressure-Side 45.472 52.623 50 167 Pressure-Side 46.127 53.777 50 168 Pressure-Side 46.775 54.936 50 169 Pressure-Side 47.416 56.097 50 170 Pressure-Side 48.051 57.264 50 171 Pressure-Side 48.680 58.431 50 172 Pressure-Side 49.302 59.605 50 173 Pressure-Side 49.918 60.780 50 174 Pressure-Side 50.527 61.958 50 175 Pressure-Side 51.131 63.141 50 176 Pressure-Side 51.731 64.325 50 177 Pressure-Side 52.323 65.513 50 178 Pressure-Side 52.909 66.703 50 179 Pressure-Side 53.491 67.896 50 180 Pressure-Side 54.066 69.092 50 181 Pressure-Side 54.636 70.291 50 182 Pressure-Side 55.201 71.493 50 183 Pressure-Side 55.761 72.696 50 184 Pressure-Side 56.314 73.901 50 185 Pressure-Side 56.865 75.110 50 186 Pressure-Side 57.409 76.321 50 187 Pressure-Side 57.948 77.533 50 188 Pressure-Side 58.483 78.748 50 189 Pressure-Side 59.013 79.965 50 190 Pressure-Side 59.538 81.183 50 191 Pressure-Side 60.059 82.404 50 192 Pressure-Side 60.575 83.627 50 193 Pressure-Side 61.087 84.851 50 194 Pressure-Side 61.593 86.078 50 195 Pressure-Side 62.096 87.307 50 196 Pressure-Side 62.595 88.537 50 197 Pressure-Side 63.090 89.768 50 198 Pressure-Side 63.580 91.001 50 199 Pressure-Side 64.067 92.236 50 200 Pressure-Side 64.549 93.473 50 201 Pressure-Side 65.028 94.710 50 202 Pressure-Side 65.503 95.949 50 203 Pressure-Side 65.973 97.191 50 204 Pressure-Side 66.439 98.433 50 205 Pressure-Side 66.901 99.678 50 206 Pressure-Side 67.361 100.923 50 207 Pressure-Side 67.816 102.169 50 208 Pressure-Side 68.269 103.417 50 209 Pressure-Side 68.718 104.666 50 210 Pressure-Side 68.896 105.169 50 211 Pressure-Side 69.074 105.671 50 212 Pressure-Side 69.251 106.174 50 213 Pressure-Side 69.427 106.677 50 214 Pressure-Side 69.613 107.178 50 215 Pressure-Side 69.831 107.664 50 216 Pressure-Side 70.119 108.112 50 217 Pressure-Side 70.485 108.502 50 218 Pressure-Side 70.966 108.708 50 1 Suction-Side −3.242 −2.668 60 2 Suction-Side −2.972 −4.327 60 3 Suction-Side −2.306 −5.870 60 4 Suction-Side −1.343 −7.244 60 5 Suction-Side −0.171 −8.445 60 6 Suction-Side 1.148 −9.481 60 7 Suction-Side 2.561 −10.365 60 8 Suction-Side 4.057 −11.121 60 9 Suction-Side 5.607 −11.756 60 10 Suction-Side 7.187 −12.278 60 11 Suction-Side 8.794 −12.699 60 12 Suction-Side 10.423 −13.029 60 13 Suction-Side 12.076 −13.268 60 14 Suction-Side 13.744 −13.418 60 15 Suction-Side 15.407 −13.475 60 16 Suction-Side 17.066 −13.438 60 17 Suction-Side 18.719 −13.300 60 18 Suction-Side 20.364 −13.057 60 19 Suction-Side 22.004 −12.704 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96.283 80 199 Pressure-Side 65.090 97.592 80 200 Pressure-Side 65.593 98.905 80 201 Pressure-Side 66.092 100.217 80 202 Pressure-Side 66.586 101.531 80 203 Pressure-Side 67.079 102.847 80 204 Pressure-Side 67.565 104.165 80 205 Pressure-Side 68.049 105.485 80 206 Pressure-Side 68.527 106.806 80 207 Pressure-Side 69.003 108.128 80 208 Pressure-Side 69.479 109.450 80 209 Pressure-Side 69.951 110.772 80 210 Pressure-Side 70.108 111.225 80 211 Pressure-Side 70.264 111.677 80 212 Pressure-Side 70.419 112.131 80 213 Pressure-Side 70.580 112.582 80 214 Pressure-Side 70.763 113.024 80 215 Pressure-Side 70.988 113.449 80 216 Pressure-Side 71.273 113.833 80 217 Pressure-Side 71.629 114.158 80 218 Pressure-Side 72.085 114.265 80 1 Suction-Side −4.855 −4.006 90 2 Suction-Side −4.573 −5.712 90 3 Suction-Side −3.883 −7.300 90 4 Suction-Side −2.884 −8.717 90 5 Suction-Side −1.668 −9.951 90 6 Suction-Side −0.300 −11.015 90 7 Suction-Side 1.177 −11.925 90 8 Suction-Side 2.730 −12.695 90 9 Suction-Side 4.341 −13.339 90 10 Suction-Side 5.993 −13.867 90 11 Suction-Side 7.675 −14.286 90 12 Suction-Side 9.383 −14.593 90 13 Suction-Side 11.106 −14.784 90 14 Suction-Side 12.839 −14.852 90 15 Suction-Side 14.573 −14.791 90 16 Suction-Side 16.296 −14.603 90 17 Suction-Side 18.002 −14.287 90 18 Suction-Side 19.680 −13.849 90 19 Suction-Side 21.323 −13.296 90 20 Suction-Side 22.927 −12.636 90 21 Suction-Side 24.486 −11.877 90 22 Suction-Side 26.000 −11.029 90 23 Suction-Side 27.464 −10.100 90 24 Suction-Side 28.880 −9.098 90 25 Suction-Side 30.249 −8.033 90 26 Suction-Side 31.571 −6.911 90 27 Suction-Side 32.849 −5.738 90 28 Suction-Side 34.082 −4.518 90 29 Suction-Side 35.275 −3.258 90 30 Suction-Side 36.427 −1.962 90 31 Suction-Side 37.542 −0.632 90 32 Suction-Side 38.619 0.727 90 33 Suction-Side 39.663 2.111 90 34 Suction-Side 40.675 3.521 90 35 Suction-Side 41.655 4.953 90 36 Suction-Side 42.604 6.404 90 37 Suction-Side 43.526 7.873 90 38 Suction-Side 44.419 9.359 90 39 Suction-Side 45.288 10.861 90 40 Suction-Side 46.131 12.377 90 41 Suction-Side 46.952 13.906 90 42 Suction-Side 47.748 15.446 90 43 Suction-Side 48.523 16.998 90 44 Suction-Side 49.277 18.560 90 45 Suction-Side 50.011 20.131 90 46 Suction-Side 50.726 21.712 90 47 Suction-Side 51.422 23.301 90 48 Suction-Side 52.102 24.897 90 49 Suction-Side 52.763 26.500 90 50 Suction-Side 53.409 28.111 90 51 Suction-Side 54.038 29.727 90 52 Suction-Side 54.652 31.349 90 53 Suction-Side 55.252 32.976 90 54 Suction-Side 55.838 34.610 90 55 Suction-Side 56.409 36.246 90 56 Suction-Side 56.968 37.889 90 57 Suction-Side 57.514 39.536 90 58 Suction-Side 58.049 41.186 90 59 Suction-Side 58.569 42.840 90 60 Suction-Side 59.081 44.498 90 61 Suction-Side 59.580 46.158 90 62 Suction-Side 60.069 47.823 90 63 Suction-Side 60.547 49.490 90 64 Suction-Side 61.016 51.160 90 65 Suction-Side 61.475 52.833 90 66 Suction-Side 61.924 54.508 90 67 Suction-Side 62.363 56.186 90 68 Suction-Side 62.795 57.866 90 69 Suction-Side 63.218 59.549 90 70 Suction-Side 63.632 61.233 90 71 Suction-Side 64.038 62.920 90 72 Suction-Side 64.436 64.608 90 73 Suction-Side 64.826 66.298 90 74 Suction-Side 65.211 67.990 90 75 Suction-Side 65.586 69.683 90 76 Suction-Side 65.955 71.377 90 77 Suction-Side 66.317 73.074 90 78 Suction-Side 66.672 74.772 90 79 Suction-Side 67.021 76.471 90 80 Suction-Side 67.364 78.171 90 81 Suction-Side 67.699 79.873 90 82 Suction-Side 68.030 81.576 90 83 Suction-Side 68.353 83.280 90 84 Suction-Side 68.672 84.984 90 85 Suction-Side 68.985 86.691 90 86 Suction-Side 69.292 88.399 90 87 Suction-Side 69.594 90.106 90 88 Suction-Side 69.890 91.816 90 89 Suction-Side 70.183 93.525 90 90 Suction-Side 70.469 95.236 90 91 Suction-Side 70.752 96.948 90 92 Suction-Side 71.028 98.660 90 93 Suction-Side 71.301 100.372 90 94 Suction-Side 71.568 102.086 90 95 Suction-Side 71.833 103.801 90 96 Suction-Side 72.092 105.515 90 97 Suction-Side 72.347 107.232 90 98 Suction-Side 72.598 108.948 90 99 Suction-Side 72.843 110.665 90 100 Suction-Side 73.088 112.382 90 101 Suction-Side 73.158 112.869 90 102 Suction-Side 73.226 113.354 90 103 Suction-Side 73.293 113.840 90 104 Suction-Side 73.356 114.329 90 105 Suction-Side 73.405 114.817 90 106 Suction-Side 73.410 115.306 90 107 Suction-Side 73.336 115.793 90 108 Suction-Side 73.178 116.256 90 109 Suction-Side 72.840 116.597 90 110 Pressure-Side −4.855 −4.006 90 111 Pressure-Side −4.742 −2.580 90 112 Pressure-Side −4.333 −1.209 90 113 Pressure-Side −3.672 0.061 90 114 Pressure-Side −2.821 1.212 90 115 Pressure-Side −1.825 2.240 90 116 Pressure-Side −0.721 3.154 90 117 Pressure-Side 0.460 3.965 90 118 Pressure-Side 1.675 4.726 90 119 Pressure-Side 2.877 5.506 90 120 Pressure-Side 4.062 6.310 90 121 Pressure-Side 5.235 7.135 90 122 Pressure-Side 6.395 7.977 90 123 Pressure-Side 7.540 8.837 90 124 Pressure-Side 8.672 9.717 90 125 Pressure-Side 9.791 10.613 90 126 Pressure-Side 10.895 11.526 90 127 Pressure-Side 11.987 12.453 90 128 Pressure-Side 13.066 13.397 90 129 Pressure-Side 14.131 14.355 90 130 Pressure-Side 15.183 15.329 90 131 Pressure-Side 16.223 16.314 90 132 Pressure-Side 17.252 17.314 90 133 Pressure-Side 18.265 18.326 90 134 Pressure-Side 19.268 19.350 90 135 Pressure-Side 20.259 20.385 90 136 Pressure-Side 21.237 21.433 90 137 Pressure-Side 22.203 22.491 90 138 Pressure-Side 23.158 23.559 90 139 Pressure-Side 24.102 24.638 90 140 Pressure-Side 25.035 25.725 90 141 Pressure-Side 25.957 26.823 90 142 Pressure-Side 26.868 27.930 90 143 Pressure-Side 27.767 29.044 90 144 Pressure-Side 28.657 30.168 90 145 Pressure-Side 29.535 31.300 90 146 Pressure-Side 30.405 32.439 90 147 Pressure-Side 31.264 33.586 90 148 Pressure-Side 32.113 34.740 90 149 Pressure-Side 32.953 35.902 90 150 Pressure-Side 33.782 37.070 90 151 Pressure-Side 34.602 38.245 90 152 Pressure-Side 35.416 39.426 90 153 Pressure-Side 36.218 40.613 90 154 Pressure-Side 37.012 41.806 90 155 Pressure-Side 37.797 43.005 90 156 Pressure-Side 38.573 44.210 90 157 Pressure-Side 39.342 45.419 90 158 Pressure-Side 40.101 46.634 90 159 Pressure-Side 40.853 47.855 90 160 Pressure-Side 41.597 49.079 90 161 Pressure-Side 42.333 50.309 90 162 Pressure-Side 43.061 51.542 90 163 Pressure-Side 43.782 52.781 90 164 Pressure-Side 44.496 54.025 90 165 Pressure-Side 45.202 55.271 90 166 Pressure-Side 45.901 56.522 90 167 Pressure-Side 46.593 57.777 90 168 Pressure-Side 47.278 59.037 90 169 Pressure-Side 47.956 60.298 90 170 Pressure-Side 48.628 61.565 90 171 Pressure-Side 49.293 62.834 90 172 Pressure-Side 49.952 64.107 90 173 Pressure-Side 50.603 65.383 90 174 Pressure-Side 51.249 66.662 90 175 Pressure-Side 51.888 67.945 90 176 Pressure-Side 52.522 69.230 90 177 Pressure-Side 53.149 70.518 90 178 Pressure-Side 53.772 71.810 90 179 Pressure-Side 54.388 73.104 90 180 Pressure-Side 54.998 74.399 90 181 Pressure-Side 55.603 75.699 90 182 Pressure-Side 56.203 77.000 90 183 Pressure-Side 56.798 78.305 90 184 Pressure-Side 57.387 79.612 90 185 Pressure-Side 57.970 80.921 90 186 Pressure-Side 58.549 82.231 90 187 Pressure-Side 59.123 83.544 90 188 Pressure-Side 59.691 84.860 90 189 Pressure-Side 60.256 86.176 90 190 Pressure-Side 60.816 87.496 90 191 Pressure-Side 61.371 88.817 90 192 Pressure-Side 61.921 90.141 90 193 Pressure-Side 62.467 91.465 90 194 Pressure-Side 63.009 92.792 90 195 Pressure-Side 63.546 94.121 90 196 Pressure-Side 64.079 95.451 90 197 Pressure-Side 64.607 96.783 90 198 Pressure-Side 65.132 98.117 90 199 Pressure-Side 65.653 99.451 90 200 Pressure-Side 66.169 100.788 90 201 Pressure-Side 66.682 102.126 90 202 Pressure-Side 67.191 103.466 90 203 Pressure-Side 67.697 104.807 90 204 Pressure-Side 68.199 106.149 90 205 Pressure-Side 68.697 107.493 90 206 Pressure-Side 69.192 108.837 90 207 Pressure-Side 69.684 110.184 90 208 Pressure-Side 70.172 111.532 90 209 Pressure-Side 70.657 112.880 90 210 Pressure-Side 70.825 113.351 90 211 Pressure-Side 70.993 113.823 90 212 Pressure-Side 71.159 114.294 90 213 Pressure-Side 71.328 114.766 90 214 Pressure-Side 71.509 115.232 90 215 Pressure-Side 71.732 115.679 90 216 Pressure-Side 72.021 116.088 90 217 Pressure-Side 72.377 116.440 90 218 Pressure-Side 72.840 116.597 90 1 Suction-Side −5.395 −4.454 100 2 Suction-Side −5.109 −6.192 100 3 Suction-Side −4.407 −7.809 100 4 Suction-Side −3.392 −9.251 100 5 Suction-Side −2.154 −10.508 100 6 Suction-Side −0.761 −11.593 100 7 Suction-Side 0.742 −12.518 100 8 Suction-Side 2.322 −13.303 100 9 Suction-Side 3.962 −13.962 100 10 Suction-Side 5.644 −14.496 100 11 Suction-Side 7.361 −14.909 100 12 Suction-Side 9.103 −15.191 100 13 Suction-Side 10.863 −15.337 100 14 Suction-Side 12.628 −15.343 100 15 Suction-Side 14.388 −15.205 100 16 Suction-Side 16.131 −14.928 100 17 Suction-Side 17.848 −14.515 100 18 Suction-Side 19.531 −13.980 100 19 Suction-Side 21.170 −13.327 100 20 Suction-Side 22.767 −12.572 100 21 Suction-Side 24.314 −11.722 100 22 Suction-Side 25.813 −10.788 100 23 Suction-Side 27.264 −9.781 100 24 Suction-Side 28.666 −8.708 100 25 Suction-Side 30.021 −7.577 100 26 Suction-Side 31.332 −6.393 100 27 Suction-Side 32.599 −5.165 100 28 Suction-Side 33.826 −3.895 100 29 Suction-Side 35.013 −2.588 100 30 Suction-Side 36.163 −1.246 100 31 Suction-Side 37.276 0.123 100 32 Suction-Side 38.356 1.521 100 33 Suction-Side 39.405 2.941 100 34 Suction-Side 40.422 4.384 100 35 Suction-Side 41.410 5.849 100 36 Suction-Side 42.370 7.331 100 37 Suction-Side 43.302 8.831 100 38 Suction-Side 44.208 10.346 100 39 Suction-Side 45.090 11.876 100 40 Suction-Side 45.949 13.419 100 41 Suction-Side 46.785 14.974 100 42 Suction-Side 47.599 16.541 100 43 Suction-Side 48.391 18.120 100 44 Suction-Side 49.164 19.707 100 45 Suction-Side 49.918 21.304 100 46 Suction-Side 50.652 22.909 100 47 Suction-Side 51.369 24.523 100 48 Suction-Side 52.069 26.145 100 49 Suction-Side 52.752 27.773 100 50 Suction-Side 53.418 29.408 100 51 Suction-Side 54.069 31.050 100 52 Suction-Side 54.706 32.697 100 53 Suction-Side 55.326 34.350 100 54 Suction-Side 55.934 36.008 100 55 Suction-Side 56.528 37.671 100 56 Suction-Side 57.109 39.339 100 57 Suction-Side 57.678 41.011 100 58 Suction-Side 58.234 42.686 100 59 Suction-Side 58.779 44.365 100 60 Suction-Side 59.311 46.050 100 61 Suction-Side 59.832 47.737 100 62 Suction-Side 60.342 49.427 100 63 Suction-Side 60.844 51.121 100 64 Suction-Side 61.334 52.817 100 65 Suction-Side 61.814 54.516 100 66 Suction-Side 62.285 56.218 100 67 Suction-Side 62.746 57.922 100 68 Suction-Side 63.200 59.629 100 69 Suction-Side 63.644 61.338 100 70 Suction-Side 64.079 63.050 100 71 Suction-Side 64.506 64.763 100 72 Suction-Side 64.926 66.478 100 73 Suction-Side 65.337 68.196 100 74 Suction-Side 65.740 69.914 100 75 Suction-Side 66.136 71.635 100 76 Suction-Side 66.525 73.358 100 77 Suction-Side 66.908 75.082 100 78 Suction-Side 67.283 76.808 100 79 Suction-Side 67.651 78.535 100 80 Suction-Side 68.013 80.263 100 81 Suction-Side 68.368 81.992 100 82 Suction-Side 68.718 83.723 100 83 Suction-Side 69.061 85.455 100 84 Suction-Side 69.399 87.189 100 85 Suction-Side 69.730 88.924 100 86 Suction-Side 70.057 90.658 100 87 Suction-Side 70.377 92.396 100 88 Suction-Side 70.692 94.133 100 89 Suction-Side 71.000 95.871 100 90 Suction-Side 71.304 97.611 100 91 Suction-Side 71.604 99.350 100 92 Suction-Side 71.899 101.092 100 93 Suction-Side 72.190 102.834 100 94 Suction-Side 72.475 104.576 100 95 Suction-Side 72.754 106.319 100 96 Suction-Side 73.028 108.064 100 97 Suction-Side 73.301 109.809 100 98 Suction-Side 73.572 111.554 100 99 Suction-Side 73.831 113.300 100 100 Suction-Side 74.086 115.048 100 101 Suction-Side 74.159 115.524 100 102 Suction-Side 74.232 116.002 100 103 Suction-Side 74.302 116.480 100 104 Suction-Side 74.365 116.958 100 105 Suction-Side 74.411 117.438 100 106 Suction-Side 74.411 117.921 100 107 Suction-Side 74.336 118.398 100 108 Suction-Side 74.175 118.852 100 109 Suction-Side 73.833 119.171 100 110 Pressure-Side −5.395 −4.454 100 111 Pressure-Side −5.281 −2.997 100 112 Pressure-Side −4.861 −1.598 100 113 Pressure-Side −4.186 −0.300 100 114 Pressure-Side −3.315 0.875 100 115 Pressure-Side −2.297 1.927 100 116 Pressure-Side −1.166 2.858 100 117 Pressure-Side 0.039 3.689 100 118 Pressure-Side 1.267 4.487 100 119 Pressure-Side 2.481 5.306 100 120 Pressure-Side 3.677 6.150 100 121 Pressure-Side 4.861 7.012 100 122 Pressure-Side 6.030 7.894 100 123 Pressure-Side 7.187 8.791 100 124 Pressure-Side 8.330 9.707 100 125 Pressure-Side 9.459 10.638 100 126 Pressure-Side 10.575 11.588 100 127 Pressure-Side 11.677 12.551 100 128 Pressure-Side 12.766 13.530 100 129 Pressure-Side 13.843 14.523 100 130 Pressure-Side 14.907 15.529 100 131 Pressure-Side 15.958 16.548 100 132 Pressure-Side 16.996 17.581 100 133 Pressure-Side 18.023 18.625 100 134 Pressure-Side 19.036 19.682 100 135 Pressure-Side 20.039 20.750 100 136 Pressure-Side 21.029 21.829 100 137 Pressure-Side 22.008 22.918 100 138 Pressure-Side 22.976 24.017 100 139 Pressure-Side 23.931 25.126 100 140 Pressure-Side 24.876 26.244 100 141 Pressure-Side 25.811 27.372 100 142 Pressure-Side 26.734 28.509 100 143 Pressure-Side 27.647 29.654 100 144 Pressure-Side 28.549 30.807 100 145 Pressure-Side 29.442 31.967 100 146 Pressure-Side 30.325 33.136 100 147 Pressure-Side 31.197 34.313 100 148 Pressure-Side 32.059 35.496 100 149 Pressure-Side 32.912 36.686 100 150 Pressure-Side 33.757 37.883 100 151 Pressure-Side 34.592 39.086 100 152 Pressure-Side 35.417 40.296 100 153 Pressure-Side 36.235 41.511 100 154 Pressure-Side 37.043 42.732 100 155 Pressure-Side 37.841 43.957 100 156 Pressure-Side 38.634 45.190 100 157 Pressure-Side 39.416 46.428 100 158 Pressure-Side 40.192 47.670 100 159 Pressure-Side 40.957 48.918 100 160 Pressure-Side 41.717 50.170 100 161 Pressure-Side 42.468 51.427 100 162 Pressure-Side 43.211 52.689 100 163 Pressure-Side 43.947 53.955 100 164 Pressure-Side 44.676 55.225 100 165 Pressure-Side 45.398 56.500 100 166 Pressure-Side 46.112 57.777 100 167 Pressure-Side 46.820 59.059 100 168 Pressure-Side 47.520 60.345 100 169 Pressure-Side 48.214 61.635 100 170 Pressure-Side 48.901 62.929 100 171 Pressure-Side 49.582 64.224 100 172 Pressure-Side 50.256 65.525 100 173 Pressure-Side 50.924 66.828 100 174 Pressure-Side 51.585 68.134 100 175 Pressure-Side 52.241 69.444 100 176 Pressure-Side 52.891 70.755 100 177 Pressure-Side 53.534 72.071 100 178 Pressure-Side 54.172 73.389 100 179 Pressure-Side 54.805 74.710 100 180 Pressure-Side 55.431 76.033 100 181 Pressure-Side 56.053 77.360 100 182 Pressure-Side 56.669 78.687 100 183 Pressure-Side 57.279 80.018 100 184 Pressure-Side 57.884 81.352 100 185 Pressure-Side 58.485 82.688 100 186 Pressure-Side 59.080 84.026 100 187 Pressure-Side 59.670 85.366 100 188 Pressure-Side 60.256 86.709 100 189 Pressure-Side 60.837 88.053 100 190 Pressure-Side 61.414 89.399 100 191 Pressure-Side 61.985 90.746 100 192 Pressure-Side 62.553 92.096 100 193 Pressure-Side 63.116 93.448 100 194 Pressure-Side 63.673 94.802 100 195 Pressure-Side 64.228 96.157 100 196 Pressure-Side 64.779 97.515 100 197 Pressure-Side 65.325 98.874 100 198 Pressure-Side 65.866 100.233 100 199 Pressure-Side 66.405 101.595 100 200 Pressure-Side 66.939 102.959 100 201 Pressure-Side 67.470 104.324 100 202 Pressure-Side 67.999 105.689 100 203 Pressure-Side 68.521 107.057 100 204 Pressure-Side 69.042 108.426 100 205 Pressure-Side 69.557 109.796 100 206 Pressure-Side 70.070 111.168 100 207 Pressure-Side 70.579 112.541 100 208 Pressure-Side 71.086 113.915 100 209 Pressure-Side 71.591 115.290 100 210 Pressure-Side 71.767 115.777 100 211 Pressure-Side 71.942 116.265 100 212 Pressure-Side 72.116 116.751 100 213 Pressure-Side 72.293 117.240 100 214 Pressure-Side 72.481 117.723 100 215 Pressure-Side 72.705 118.189 100 216 Pressure-Side 72.994 118.618 100 217 Pressure-Side 73.361 118.989 100 218 Pressure-Side 73.833 119.171 100

With reference to FIG. 4 and with continuing reference to FIG. 3, suction side 132 and/or pressure side 134 of airfoil 130 has trailing edge 138 having a nominal profile that can be expressed substantially in accordance with at least a portion of Cartesian coordinates, i.e., X, Y, Z coordinates, set forth in TABLE II. That is, rather than an entire airfoil profile as stated in TABLE I, a trailing edge 138 profile may be provided in combination with other airfoil embodiments. Trailing edge 138 is generally semi-elliptical.

Again, “profile” is the range of the variation between measured points on an airfoil surface and the ideal position listed in TABLE II. The actual profile on a manufactured turbine nozzle may be different from that defined by TABLE II, and the design is robust to this variation, meaning that mechanical and aerodynamic function are not impaired. A + or −5% profile tolerance is used herein.

The Cartesian coordinate system of X, Y and Z values given in TABLE II below defines the profile of the turbine nozzle trailing edge 138 at various locations along its height. Referring again to FIG. 4, plurality of cross sections 160-170 along span or height H correspond to Z coordinate values of chord lines. A cross section of airfoil 130 at trailing edge 138 at each cross section 160-170 can be described by a respective set of X and Y coordinates (from TABLE II). For example, 10 points can be listed for each cross section 160-170 on each of the pressure side and the suction side, though it should be apparent that more or fewer points can be used for each cross section 160-170, and more or fewer cross sections can be used, as may be desired and/or appropriate.

The coordinate values are stated as non-dimensional values of from 0% to 100% (percentages in TABLE II) convertible to distances by multiplying the values by a height H of airfoil 130 expressed in units of distance. While the X, Y, and Z coordinate values in TABLE II have been expressed in normalized or non-dimensionalized form, it should be apparent that any or all of the coordinate values could instead be expressed in distance units so long as the proportions are maintained.

To convert an X, Y or Z value of TABLE II to a respective X, Y or Z coordinate value in units of distance, such as inches or meters, the non-dimensional X, Y or Z value given in TABLE II can be multiplied by a height H of airfoil 130 in such units of distance. Hence, the trailing edge profile can be applied to airfoils of different heights H. By connecting the X and Y values with smooth continuing arcs, each profile cross section at each height Z (i.e., cross sections 160-170) can be fixed. The trailing edge profiles of the various surface locations between the heights Z (in TABLE II) can be determined by smoothly connecting adjacent profile sections to one another, thus forming the trailing edge profile with a desired elliptical shape. Further, it is noted that where a trailing edge profile section uses Z coordinate values not expressly stated in TABLE II, appropriate coordinate values can be mathematically extrapolated from TABLE II.

The values in TABLE II are generated and shown to three decimal places for determining the nominal profile of trailing edge 138 along at least one of a suction side or a pressure side of airfoil 130 at ambient, non-operating, or non-hot conditions and do not take any coatings or fillets 140, 142 (FIG. 3) into account, though embodiments could account for other conditions, coatings, and/or fillets. The Cartesian coordinate values have an origin at an innermost point 172 (FIGS. 4 and 5) of leading edge 136 of airfoil 130 at the junction of airfoil 130 with a top surface of endwall 122. As shown in FIG. 5, it is understood that innermost point 172 may be covered by fillet 140 and that innermost point 172 is one of the points of cross section 160. Further, as shown in FIG. 4, cross sections 160 or 170 may be covered by fillet 140, 142, respectively.

While the Cartesian values in TABLE II provide Z coordinate values at 10% increments between 0% and 100%, only a portion of Cartesian coordinate values set forth in TABLE II may be employed. In one example, the trailing edge profile sections may use a portion of Z coordinate values defined within 10% and 90% of the height of the airfoil, i.e., from cross sections 161 to 169. In another example, the trailing edge profile sections may use a portion of the Cartesian coordinate values defined within 5% and 95% of the height of the airfoil, i.e., from a plane midway between cross sections 160 and 161 to a plane midway between cross sections 169 and 170. Any portion of Cartesian coordinate values of X, Y and Z set forth in TABLE II may be employed, e.g., from 20% to 30%, 37%-50%, etc.

FIG. 6 shows a perspective view of a nozzle 112 that employs only a selected portion of Cartesian coordinate values of X, Y and Z set forth in TABLE II. For example, a nozzle 112 may be made using coordinate values that represent a selection section of trailing edge 138 of airfoil 130 from 40% of the height to 55% of the height, as shown by shading in FIG. 6. As shown in FIG. 6, a nozzle 112 that has, for example, a selected section of trailing edge 138 of airfoil 130 may have an imaginary origin 172′ that dictates where a selected portion, e.g., 40%-55%, of the Cartesian coordinate values of X, Y and Z set forth in TABLE II are employed.

TABLE II Non-dimensionalized (%) N Location X Y Z 100 Suction-Side 72.959 95.851 0 101 Suction-Side 73.054 96.362 0 102 Suction-Side 73.149 96.871 0 103 Suction-Side 73.242 97.380 0 104 Suction-Side 73.336 97.889 0 105 Suction-Side 73.425 98.399 0 106 Suction-Side 73.465 98.917 0 107 Suction-Side 73.423 99.429 0 108 Suction-Side 73.276 99.926 0 109 Suction-Side 72.938 100.315 0 209 Pressure-Side 70.669 96.853 0 210 Pressure-Side 70.844 97.307 0 211 Pressure-Side 71.018 97.763 0 212 Pressure-Side 71.190 98.220 0 213 Pressure-Side 71.364 98.675 0 214 Pressure-Side 71.552 99.125 0 215 Pressure-Side 71.788 99.550 0 216 Pressure-Side 72.092 99.932 0 217 Pressure-Side 72.471 100.234 0 218 Pressure-Side 72.938 100.315 0 100 Suction-Side 71.954 97.184 10 101 Suction-Side 72.045 97.703 10 102 Suction-Side 72.134 98.221 10 103 Suction-Side 72.221 98.739 10 104 Suction-Side 72.310 99.258 10 105 Suction-Side 72.395 99.777 10 106 Suction-Side 72.435 100.303 10 107 Suction-Side 72.393 100.831 10 108 Suction-Side 72.247 101.341 10 109 Suction-Side 71.907 101.742 10 209 Pressure-Side 69.677 98.288 10 210 Pressure-Side 69.847 98.742 10 211 Pressure-Side 70.018 99.194 10 212 Pressure-Side 70.184 99.650 10 213 Pressure-Side 70.350 100.105 10 214 Pressure-Side 70.537 100.552 10 215 Pressure-Side 70.772 100.975 10 216 Pressure-Side 71.071 101.356 10 217 Pressure-Side 71.444 101.662 10 218 Pressure-Side 71.907 101.742 10 100 Suction-Side 71.373 99.053 20 101 Suction-Side 71.453 99.547 20 102 Suction-Side 71.534 100.040 20 103 Suction-Side 71.616 100.534 20 104 Suction-Side 71.693 101.028 20 105 Suction-Side 71.754 101.524 20 106 Suction-Side 71.772 102.022 20 107 Suction-Side 71.708 102.519 20 108 Suction-Side 71.551 102.994 20 109 Suction-Side 71.208 103.343 20 209 Pressure-Side 68.993 99.731 20 210 Pressure-Side 69.163 100.197 20 211 Pressure-Side 69.331 100.662 20 212 Pressure-Side 69.499 101.128 20 213 Pressure-Side 69.669 101.592 20 214 Pressure-Side 69.856 102.051 20 215 Pressure-Side 70.079 102.491 20 216 Pressure-Side 70.374 102.889 20 217 Pressure-Side 70.742 103.220 20 218 Pressure-Side 71.208 103.343 20 100 Suction-Side 71.156 101.010 30 101 Suction-Side 71.227 101.479 30 102 Suction-Side 71.297 101.948 30 103 Suction-Side 71.367 102.417 30 104 Suction-Side 71.436 102.887 30 105 Suction-Side 71.488 103.358 30 106 Suction-Side 71.485 103.835 30 107 Suction-Side 71.414 104.319 30 108 Suction-Side 71.241 104.788 30 109 Suction-Side 70.873 105.101 30 209 Pressure-Side 68.595 101.091 30 210 Pressure-Side 68.778 101.592 30 211 Pressure-Side 68.959 102.092 30 212 Pressure-Side 69.137 102.594 30 213 Pressure-Side 69.316 103.095 30 214 Pressure-Side 69.505 103.594 30 215 Pressure-Side 69.724 104.077 30 216 Pressure-Side 70.016 104.522 30 217 Pressure-Side 70.387 104.907 30 218 Pressure-Side 70.873 105.101 30 100 Suction-Side 71.168 102.853 40 101 Suction-Side 71.235 103.324 40 102 Suction-Side 71.300 103.792 40 103 Suction-Side 71.365 104.263 40 104 Suction-Side 71.430 104.733 40 105 Suction-Side 71.476 105.205 40 106 Suction-Side 71.466 105.683 40 107 Suction-Side 71.387 106.166 40 108 Suction-Side 71.206 106.631 40 109 Suction-Side 70.825 106.920 40 209 Pressure-Side 68.513 102.672 40 210 Pressure-Side 68.702 103.196 40 211 Pressure-Side 68.890 103.718 40 212 Pressure-Side 69.076 104.242 40 213 Pressure-Side 69.261 104.764 40 214 Pressure-Side 69.451 105.287 40 215 Pressure-Side 69.671 105.797 40 216 Pressure-Side 69.959 106.270 40 217 Pressure-Side 70.333 106.684 40 218 Pressure-Side 70.825 106.920 40 100 Suction-Side 71.295 104.622 50 101 Suction-Side 71.359 105.091 50 102 Suction-Side 71.422 105.560 50 103 Suction-Side 71.484 106.028 50 104 Suction-Side 71.546 106.497 50 105 Suction-Side 71.589 106.968 50 106 Suction-Side 71.579 107.444 50 107 Suction-Side 71.503 107.926 50 108 Suction-Side 71.331 108.392 50 109 Suction-Side 70.966 108.708 50 209 Pressure-Side 68.718 104.666 50 210 Pressure-Side 68.896 105.169 50 211 Pressure-Side 69.074 105.671 50 212 Pressure-Side 69.251 106.174 50 213 Pressure-Side 69.427 106.677 50 214 Pressure-Side 69.613 107.178 50 215 Pressure-Side 69.831 107.664 50 216 Pressure-Side 70.119 108.112 50 217 Pressure-Side 70.485 108.502 50 218 Pressure-Side 70.966 108.708 50 100 Suction-Side 71.432 105.953 60 101 Suction-Side 71.499 106.462 60 102 Suction-Side 71.565 106.971 60 103 Suction-Side 71.631 107.480 60 104 Suction-Side 71.696 107.988 60 105 Suction-Side 71.757 108.497 60 106 Suction-Side 71.770 109.011 60 107 Suction-Side 71.711 109.527 60 108 Suction-Side 71.555 110.038 60 109 Suction-Side 71.209 110.435 60 209 Pressure-Side 69.080 106.891 60 210 Pressure-Side 69.239 107.346 60 211 Pressure-Side 69.398 107.803 60 212 Pressure-Side 69.557 108.259 60 213 Pressure-Side 69.720 108.713 60 214 Pressure-Side 69.899 109.161 60 215 Pressure-Side 70.119 109.589 60 216 Pressure-Side 70.405 109.980 60 217 Pressure-Side 70.757 110.308 60 218 Pressure-Side 71.209 110.435 60 100 Suction-Side 71.709 107.490 70 101 Suction-Side 71.782 108.032 70 102 Suction-Side 71.855 108.572 70 103 Suction-Side 71.928 109.113 70 104 Suction-Side 71.997 109.653 70 105 Suction-Side 72.058 110.196 70 106 Suction-Side 72.088 110.741 70 107 Suction-Side 72.040 111.284 70 108 Suction-Side 71.890 111.811 70 109 Suction-Side 71.558 112.232 70 209 Pressure-Side 69.416 108.754 70 210 Pressure-Side 69.573 109.207 70 211 Pressure-Side 69.730 109.659 70 212 Pressure-Side 69.889 110.112 70 213 Pressure-Side 70.052 110.563 70 214 Pressure-Side 70.230 111.008 70 215 Pressure-Side 70.454 111.432 70 216 Pressure-Side 70.745 111.817 70 217 Pressure-Side 71.103 112.139 70 218 Pressure-Side 71.558 112.232 70 100 Suction-Side 72.245 109.604 80 101 Suction-Side 72.318 110.137 80 102 Suction-Side 72.390 110.670 80 103 Suction-Side 72.463 111.202 80 104 Suction-Side 72.534 111.735 80 105 Suction-Side 72.595 112.269 80 106 Suction-Side 72.622 112.805 80 107 Suction-Side 72.570 113.340 80 108 Suction-Side 72.420 113.858 80 109 Suction-Side 72.085 114.265 80 209 Pressure-Side 69.951 110.772 80 210 Pressure-Side 70.108 111.225 80 211 Pressure-Side 70.264 111.677 80 212 Pressure-Side 70.419 112.131 80 213 Pressure-Side 70.580 112.582 80 214 Pressure-Side 70.763 113.024 80 215 Pressure-Side 70.988 113.449 80 216 Pressure-Side 71.273 113.833 80 217 Pressure-Side 71.629 114.158 80 218 Pressure-Side 72.085 114.265 80 100 Suction-Side 73.088 112.382 90 101 Suction-Side 73.158 112.869 90 102 Suction-Side 73.226 113.354 90 103 Suction-Side 73.293 113.840 90 104 Suction-Side 73.356 114.329 90 105 Suction-Side 73.405 114.817 90 106 Suction-Side 73.410 115.306 90 107 Suction-Side 73.336 115.793 90 108 Suction-Side 73.178 116.256 90 109 Suction-Side 72.840 116.597 90 209 Pressure-Side 70.657 112.880 90 210 Pressure-Side 70.825 113.351 90 211 Pressure-Side 70.993 113.823 90 212 Pressure-Side 71.159 114.294 90 213 Pressure-Side 71.328 114.766 90 214 Pressure-Side 71.509 115.232 90 215 Pressure-Side 71.732 115.679 90 216 Pressure-Side 72.021 116.088 90 217 Pressure-Side 72.377 116.440 90 218 Pressure-Side 72.840 116.597 90 100 Suction-Side 74.086 115.048 100 101 Suction-Side 74.159 115.524 100 102 Suction-Side 74.232 116.002 100 103 Suction-Side 74.302 116.480 100 104 Suction-Side 74.365 116.958 100 105 Suction-Side 74.411 117.438 100 106 Suction-Side 74.411 117.921 100 107 Suction-Side 74.336 118.398 100 108 Suction-Side 74.175 118.852 100 109 Suction-Side 73.833 119.171 100 209 Pressure-Side 71.591 115.290 100 210 Pressure-Side 71.767 115.777 100 211 Pressure-Side 71.942 116.265 100 212 Pressure-Side 72.116 116.751 100 213 Pressure-Side 72.293 117.240 100 214 Pressure-Side 72.481 117.723 100 215 Pressure-Side 72.705 118.189 100 216 Pressure-Side 72.994 118.618 100 217 Pressure-Side 73.361 118.989 100 218 Pressure-Side 73.833 119.171 100

The disclosed airfoil shape or trailing edge shape provides a unique profile to achieve: 1) interaction between other stages in turbine 108 (FIG. 1); 2) aerodynamic efficiency; and 3) normalized aerodynamic and mechanical nozzle or airfoil loadings. The disclosed loci of points defined in TABLE I or TABLE II allow GT system 100 or any other suitable turbine system to run in an efficient, safe and smooth manner. As also noted, any scale of the disclosed airfoil 130 may be adopted as long as: 1) interaction between other stages in the pressure turbine 108 (FIG. 1); 2) aerodynamic efficiency; and 3) normalized aerodynamic and mechanical nozzle or airfoil loadings, are maintained in the scaled turbine.

Airfoil 130 or trailing edge described herein thus improves overall GT system 100 efficiency. Specifically, airfoil 130 provides a desired turbine efficiency lapse rate (ISO, hot, cold, part load, etc.). Airfoil 130 also meets all aeromechanical and stress requirements. Turbine nozzle 112 described herein has very specific aerodynamic design requirements. Significant cross-functional design effort was required to meet these design goals. Airfoil 130 of turbine nozzle 112 thus possesses a specific shape to meet aerodynamic, mechanical, and heat transfer requirements in an efficient and cost effective manner.

The apparatus and devices of the present disclosure are not limited to any one particular turbomachine, engine, turbine, jet engine, power generation system or other system, and may be used with other turbomachines such as aircraft systems, power generation systems and/or systems (e.g., combined cycle, simple cycle, nuclear reactor, etc.). Additionally, the apparatus of the present disclosure may be used with other systems not described herein that may benefit from the increased efficiency of the apparatus and devices described herein.

Approximating language, as used herein throughout the specification and claims, may be applied to modify any quantitative representation that could permissibly vary without resulting in a change in the basic function to which it is related. Accordingly, a value modified by a term or terms, such as “about,” “approximately” and “substantially,” are not to be limited to the precise value specified. In at least some instances, the approximating language may correspond to the precision of an instrument for measuring the value. Here and throughout the specification and claims, range limitations may be combined and/or interchanged; such ranges are identified and include all the sub-ranges contained therein unless context or language indicates otherwise. “Approximately” as applied to a particular value of a range applies to both end values, and unless otherwise dependent on the precision of the instrument measuring the value, may indicate +/−10% of the stated value(s).

The corresponding structures, materials, acts, and equivalents of all means or step plus function elements in the claims below are intended to include any structure, material, or act for performing the function in combination with other claimed elements as specifically claimed. The description of the present disclosure has been presented for purposes of illustration and description but is not intended to be exhaustive or limited to the disclosure in the form disclosed. Many modifications and variations will be apparent to those of ordinary skill in the art without departing from the scope and spirit of the disclosure. The embodiment was chosen and described in order to best explain the principles of the disclosure and the practical application and to enable others of ordinary skill in the art to understand the disclosure for various embodiments with various modifications as are suited to the particular use contemplated. 

We claim:
 1. A turbine nozzle comprising: an airfoil having: a suction side, a pressure side opposing the suction side, a leading edge spanning between the pressure side and the suction side, and a trailing edge opposing the leading edge and spanning between the pressure side and the suction side; and at least one endwall connected with the airfoil along the suction side, the pressure side, the trailing edge and the leading edge, wherein at least one of a suction side or a pressure side of the airfoil has a shape having a nominal profile in accordance with at least a portion of Cartesian coordinate values of X, Y and Z set forth in Table I, wherein the Cartesian coordinate values are non-dimensional values of from 0% to 100% convertible to distances by multiplying the values by a height of the airfoil expressed in units of distance, and wherein X and Y values connected by smooth continuing arcs define airfoil profile sections at each distance Z along at least a portion of the airfoil, the airfoil profile sections at the Z distances being joined smoothly with one another to form the nominal profile, wherein the shape having the nominal profile in accordance with the at least a portion of Cartesian coordinate values of X, Y and Z set forth in TABLE I includes the airfoil profile sections defined within 10% and 90% of the height of the airfoil.
 2. The turbine nozzle of claim 1, further comprising a fillet connecting a surface of the at least one endwall to a surface of the airfoil.
 3. The turbine nozzle of claim 1, wherein the at least one endwall includes an inner endwall or an outer endwall.
 4. The turbine nozzle of claim 1, wherein the turbine nozzle includes a first stage nozzle.
 5. The turbine nozzle of claim 1, wherein the shape having the nominal profile in accordance with the at least a portion of Cartesian coordinate values of X, Y and Z set forth in TABLE I includes the airfoil profile sections defined within 5% and 95% of the height of the airfoil.
 6. A static nozzle section for a turbine, the static nozzle section comprising: a set of static nozzles, the set of static nozzles including at least one nozzle having: an airfoil having: a suction side, a pressure side opposing the suction side, a leading edge spanning between the pressure side and the suction side, and a trailing edge opposing the leading edge and spanning between the pressure side and the suction side; and at least one endwall connected with the airfoil along the suction side, the pressure side, the trailing edge and the leading edge, wherein at least one of a suction side or a pressure side of the airfoil has a shape having a nominal profile in accordance with at least a portion of Cartesian coordinate values of X, Y and Z set forth in TABLE I, wherein the Cartesian coordinate values are non-dimensional values of from 0% to 100% convertible to distances by multiplying the values by a height of the airfoil expressed in units of distance, and wherein X and Y values connected by smooth continuing arcs define airfoil profile sections at each distance Z along at least a portion of the airfoil, the airfoil profile sections at the Z distances being joined smoothly with one another to form the nominal profile, wherein the shape having the nominal profile in accordance with the at least a portion of Cartesian coordinate values of X, Y and Z set forth in TABLE I includes the airfoil profile sections defined within 10% and 90% of the height of the airfoil.
 7. The static nozzle section of claim 6, further comprising a fillet connecting a surface of the at least one endwall to a surface of the airfoil.
 8. The static nozzle section of claim 6, wherein the at least one endwall includes an inner endwall or an outer endwall.
 9. The static nozzle section of claim 6, wherein the static nozzle section is a first stage nozzle section.
 10. The static nozzle section of claim 6, wherein the shape having the nominal profile in accordance with at least a portion of Cartesian coordinate values of X, Y and Z set forth in Table I includes the airfoil profile sections defined within 5% and 95% of the height of the airfoil.
 11. A turbine nozzle comprising: an airfoil having: a suction side, a pressure side opposing the suction side, a leading edge spanning between the pressure side and the suction side, and a trailing edge opposing the leading edge and spanning between the pressure side and the suction side; and at least one endwall connected with the airfoil along the suction side, the pressure side, the trailing edge and the leading edge, wherein at least one of a suction side or a pressure side of the airfoil has a trailing edge shape having a nominal profile in accordance with at least a portion of Cartesian coordinate values of X, Y and Z set forth in TABLE II, wherein the Cartesian coordinate values are non-dimensional values of from 0% to 100% convertible to distances by multiplying the values by a height of the airfoil expressed in units of distance, and wherein X and Y values connected by smooth continuing arcs define trailing edge profile sections at each distance Z along at least a portion of the airfoil, the trailing edge profile sections at the Z distances being joined smoothly with one another to form the nominal profile of the trailing edge shape, wherein the shape having the nominal profile in accordance with the at least a portion of Cartesian coordinate values of X, Y and Z set forth in TABLE I includes the airfoil profile sections defined within 10% and 90% of the height of the airfoil.
 12. The turbine nozzle of claim 11, further comprising a fillet connecting a surface of the at least one endwall to a surface of the airfoil.
 13. The turbine nozzle of claim 11, wherein the at least one endwall includes an inner endwall or an outer endwall.
 14. The turbine nozzle of claim 11, wherein the turbine nozzle includes a first stage nozzle.
 15. The turbine nozzle of claim 11, wherein the trailing edge shape having the nominal profile in accordance with the at least a portion of Cartesian coordinate values of X, Y and Z set forth in TABLE II includes the trailing edge profile sections defined within 5% and 95% of the height of the airfoil. 